10 - H1 - Desy

8.6 Toy Monte Carlo study 117
80
[pb]
σ excl
tot
60
40
20
B C D E F
0
Figure 8.9: The exclusive photon plus jet total cross sections obtained with five different
unfoldings. The inner error bars represent the statistical error, outer error bars statistical
and systematic added in quadrature. The shaded area and horizontal lines indicate error
ranges for the unfolding B.
is subject to the unfolding procedure and the results are compared to the known MC
distribution. Three sets of toy MC samples were produced for the purpose of this analysis
by reweighting the original MC set I:
• The set of seven reweighting functions fE x T
designed to reweight the MC E γ T distribution
in such a way that the reweight value for events with E γ T
= 6 GeV is equal
to one, while events with E γ T
= 15 GeV are weighted up by x percentage:
fE x T
= x × E γ T
/900 GeV − x/150 − 1, (8.43)
with the chosen x values are taken from the set 5, 10, 20, 50, 100, 150, 250.
• The set of seven reweighting functions f x η designed to reweight the MC ηγ distribution
in such a way that the reweight value for events with η γ = −1 is equal to one,
while events with η γ = 2.4 are weighted up by x percentage:
f x η = x × η γ /340 + x/340 + 1, (8.44)
with the chosen x values are taken from the set 5, 10, 20, 50, 100, 150, 250.
• The double dimensional E γ T − ηγ reweighting function f toy
E T ,η
produced to test the
unfolding in the extreme case. The function implements reweighting in η γ corresponding
to f 450
η
from f 350
E T
up to even f 1100
convoluted with non linear reweighting in E γ T
E T
:
of the scale ranging
f toy
E T ,η = (Eγ T /GeV )2 /40 + η γ /2 (8.45)